On the Strict Arnold Chord Property and Coisotropic Submanifolds of Complex Projective Space.

Let α be a contact form on a manifold M, and L ⊆ M a closed Legendrian submanifold. I prove that L intersects some characteristic for α at least twice if all characteristics are closed and of the same period, and α embeds nicely into the product of R2n and an exact symplectic manifold. As an application of the method of proof, the minimal action of a regular closed coisotropic submanifold of complex projective space is at most π/2. This yields an obstruction to presymplectic embeddings, and in particular to Lagrangian embeddings. [ABSTRACT FROM AUTHOR]